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Finding the Fourth Proportional to 73,689.32, 101,688 and 41,857.76

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Solution

The fourth proportional to 73,689.32, 101,688 and 41,857.76 is: 57,761.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,689.32 : 101,688 = 41,857.76 : x
  2. Step 2: Convert to fraction form
    73,689.32/101,688 = 41,857.76/x
  3. Step 3: Cross multiply
    73,689.32x = 101,688 × 41,857.76
  4. Step 4: Simplify right side
    73,689.32x = 4,256,431,898.88
  5. Step 5: Solve for x
    x = 4,256,431,898.88/73,689.32
  6. Step 6: Final answer
    x = 57,761.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.